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@ -12,6 +12,8 @@ |
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#include <ostream> |
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#include <type_traits> |
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#include <common/concepts.h> |
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namespace Common { |
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template <size_t I, size_t F> |
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@ -50,8 +52,8 @@ struct type_from_size<64> { |
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static constexpr size_t size = 64; |
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using value_type = int64_t; |
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using unsigned_type = std::make_unsigned<value_type>::type; |
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using signed_type = std::make_signed<value_type>::type; |
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using unsigned_type = std::make_unsigned_t<value_type>; |
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using signed_type = std::make_signed_t<value_type>; |
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using next_size = type_from_size<128>; |
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}; |
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@ -61,8 +63,8 @@ struct type_from_size<32> { |
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static constexpr size_t size = 32; |
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using value_type = int32_t; |
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using unsigned_type = std::make_unsigned<value_type>::type; |
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using signed_type = std::make_signed<value_type>::type; |
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using unsigned_type = std::make_unsigned_t<value_type>; |
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using signed_type = std::make_signed_t<value_type>; |
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using next_size = type_from_size<64>; |
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}; |
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@ -72,8 +74,8 @@ struct type_from_size<16> { |
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static constexpr size_t size = 16; |
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using value_type = int16_t; |
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using unsigned_type = std::make_unsigned<value_type>::type; |
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using signed_type = std::make_signed<value_type>::type; |
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using unsigned_type = std::make_unsigned_t<value_type>; |
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using signed_type = std::make_signed_t<value_type>; |
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using next_size = type_from_size<32>; |
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}; |
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@ -83,8 +85,8 @@ struct type_from_size<8> { |
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static constexpr size_t size = 8; |
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using value_type = int8_t; |
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using unsigned_type = std::make_unsigned<value_type>::type; |
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using signed_type = std::make_signed<value_type>::type; |
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using unsigned_type = std::make_unsigned_t<value_type>; |
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using signed_type = std::make_signed_t<value_type>; |
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using next_size = type_from_size<16>; |
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}; |
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@ -101,7 +103,7 @@ struct divide_by_zero : std::exception {}; |
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template <size_t I, size_t F> |
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constexpr FixedPoint<I, F> divide( |
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FixedPoint<I, F> numerator, FixedPoint<I, F> denominator, FixedPoint<I, F>& remainder, |
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typename std::enable_if<type_from_size<I + F>::next_size::is_specialized>::type* = nullptr) { |
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std::enable_if_t<type_from_size<I + F>::next_size::is_specialized>* = nullptr) { |
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using next_type = typename FixedPoint<I, F>::next_type; |
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using base_type = typename FixedPoint<I, F>::base_type; |
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@ -121,7 +123,7 @@ constexpr FixedPoint<I, F> divide( |
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template <size_t I, size_t F> |
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constexpr FixedPoint<I, F> divide( |
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FixedPoint<I, F> numerator, FixedPoint<I, F> denominator, FixedPoint<I, F>& remainder, |
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typename std::enable_if<!type_from_size<I + F>::next_size::is_specialized>::type* = nullptr) { |
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std::enable_if_t<!type_from_size<I + F>::next_size::is_specialized>* = nullptr) { |
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using unsigned_type = typename FixedPoint<I, F>::unsigned_type; |
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@ -191,7 +193,7 @@ constexpr FixedPoint<I, F> divide( |
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template <size_t I, size_t F> |
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constexpr FixedPoint<I, F> multiply( |
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FixedPoint<I, F> lhs, FixedPoint<I, F> rhs, |
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typename std::enable_if<type_from_size<I + F>::next_size::is_specialized>::type* = nullptr) { |
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std::enable_if_t<type_from_size<I + F>::next_size::is_specialized>* = nullptr) { |
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using next_type = typename FixedPoint<I, F>::next_type; |
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using base_type = typename FixedPoint<I, F>::base_type; |
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@ -210,7 +212,7 @@ constexpr FixedPoint<I, F> multiply( |
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template <size_t I, size_t F> |
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constexpr FixedPoint<I, F> multiply( |
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FixedPoint<I, F> lhs, FixedPoint<I, F> rhs, |
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typename std::enable_if<!type_from_size<I + F>::next_size::is_specialized>::type* = nullptr) { |
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std::enable_if_t<!type_from_size<I + F>::next_size::is_specialized>* = nullptr) { |
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using base_type = typename FixedPoint<I, F>::base_type; |
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@ -265,15 +267,16 @@ public: |
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static constexpr base_type one = base_type(1) << fractional_bits; |
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public: // constructors |
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FixedPoint() = default; |
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FixedPoint(const FixedPoint&) = default; |
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FixedPoint(FixedPoint&&) = default; |
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FixedPoint& operator=(const FixedPoint&) = default; |
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constexpr FixedPoint() = default; |
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constexpr FixedPoint(const FixedPoint&) = default; |
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constexpr FixedPoint& operator=(const FixedPoint&) = default; |
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template <class Number> |
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constexpr FixedPoint( |
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Number n, typename std::enable_if<std::is_arithmetic<Number>::value>::type* = nullptr) |
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: data_(static_cast<base_type>(n * one)) {} |
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constexpr FixedPoint(FixedPoint&&) noexcept = default; |
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constexpr FixedPoint& operator=(FixedPoint&&) noexcept = default; |
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template <IsArithmetic Number> |
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constexpr FixedPoint(Number n) : data_(static_cast<base_type>(n * one)) {} |
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public: // conversion |
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template <size_t I2, size_t F2> |
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@ -301,36 +304,14 @@ public: |
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} |
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public: // comparison operators |
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constexpr bool operator==(FixedPoint rhs) const { |
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return data_ == rhs.data_; |
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} |
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constexpr bool operator!=(FixedPoint rhs) const { |
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return data_ != rhs.data_; |
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} |
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constexpr bool operator<(FixedPoint rhs) const { |
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return data_ < rhs.data_; |
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} |
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constexpr bool operator>(FixedPoint rhs) const { |
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return data_ > rhs.data_; |
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} |
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constexpr bool operator<=(FixedPoint rhs) const { |
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return data_ <= rhs.data_; |
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} |
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constexpr bool operator>=(FixedPoint rhs) const { |
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return data_ >= rhs.data_; |
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} |
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friend constexpr auto operator<=>(FixedPoint lhs, FixedPoint rhs) = default; |
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public: // unary operators |
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constexpr bool operator!() const { |
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[[nodiscard]] constexpr bool operator!() const { |
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return !data_; |
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} |
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constexpr FixedPoint operator~() const { |
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[[nodiscard]] constexpr FixedPoint operator~() const { |
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// NOTE(eteran): this will often appear to "just negate" the value |
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// that is not an error, it is because -x == (~x+1) |
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// and that "+1" is adding an infinitesimally small fraction to the |
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@ -338,11 +319,11 @@ public: // unary operators |
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return FixedPoint::from_base(~data_); |
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} |
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constexpr FixedPoint operator-() const { |
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[[nodiscard]] constexpr FixedPoint operator-() const { |
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return FixedPoint::from_base(-data_); |
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} |
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constexpr FixedPoint operator+() const { |
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[[nodiscard]] constexpr FixedPoint operator+() const { |
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return FixedPoint::from_base(+data_); |
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} |
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@ -411,15 +392,13 @@ public: // binary math operators, effects underlying bit pattern since these |
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return *this; |
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} |
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template <class Integer, |
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class = typename std::enable_if<std::is_integral<Integer>::value>::type> |
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template <IsIntegral Integer> |
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constexpr FixedPoint& operator>>=(Integer n) { |
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data_ >>= n; |
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return *this; |
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} |
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template <class Integer, |
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class = typename std::enable_if<std::is_integral<Integer>::value>::type> |
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template <IsIntegral Integer> |
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constexpr FixedPoint& operator<<=(Integer n) { |
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data_ <<= n; |
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return *this; |
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@ -430,42 +409,42 @@ public: // conversion to basic types |
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data_ += (data_ & fractional_mask) >> 1; |
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} |
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constexpr int to_int() { |
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[[nodiscard]] constexpr int to_int() { |
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round_up(); |
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return static_cast<int>((data_ & integer_mask) >> fractional_bits); |
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} |
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constexpr unsigned int to_uint() const { |
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[[nodiscard]] constexpr unsigned int to_uint() { |
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round_up(); |
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return static_cast<unsigned int>((data_ & integer_mask) >> fractional_bits); |
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} |
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constexpr int64_t to_long() { |
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[[nodiscard]] constexpr int64_t to_long() { |
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round_up(); |
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return static_cast<int64_t>((data_ & integer_mask) >> fractional_bits); |
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} |
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constexpr int to_int_floor() const { |
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[[nodiscard]] constexpr int to_int_floor() const { |
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return static_cast<int>((data_ & integer_mask) >> fractional_bits); |
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} |
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constexpr int64_t to_long_floor() { |
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[[nodiscard]] constexpr int64_t to_long_floor() const { |
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return static_cast<int64_t>((data_ & integer_mask) >> fractional_bits); |
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} |
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constexpr unsigned int to_uint_floor() const { |
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[[nodiscard]] constexpr unsigned int to_uint_floor() const { |
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return static_cast<unsigned int>((data_ & integer_mask) >> fractional_bits); |
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} |
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constexpr float to_float() const { |
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[[nodiscard]] constexpr float to_float() const { |
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return static_cast<float>(data_) / FixedPoint::one; |
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} |
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constexpr double to_double() const { |
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[[nodiscard]] constexpr double to_double() const { |
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return static_cast<double>(data_) / FixedPoint::one; |
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} |
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constexpr base_type to_raw() const { |
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[[nodiscard]] constexpr base_type to_raw() const { |
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return data_; |
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} |
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@ -473,27 +452,27 @@ public: // conversion to basic types |
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data_ &= fractional_mask; |
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} |
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constexpr base_type get_frac() const { |
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[[nodiscard]] constexpr base_type get_frac() const { |
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return data_ & fractional_mask; |
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} |
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public: |
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constexpr void swap(FixedPoint& rhs) { |
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constexpr void swap(FixedPoint& rhs) noexcept { |
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using std::swap; |
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swap(data_, rhs.data_); |
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} |
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public: |
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base_type data_; |
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base_type data_{}; |
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}; |
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// if we have the same fractional portion, but differing integer portions, we trivially upgrade the |
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// smaller type |
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template <size_t I1, size_t I2, size_t F> |
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constexpr typename std::conditional<I1 >= I2, FixedPoint<I1, F>, FixedPoint<I2, F>>::type operator+( |
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constexpr std::conditional_t<I1 >= I2, FixedPoint<I1, F>, FixedPoint<I2, F>> operator+( |
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FixedPoint<I1, F> lhs, FixedPoint<I2, F> rhs) { |
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using T = typename std::conditional<I1 >= I2, FixedPoint<I1, F>, FixedPoint<I2, F>>::type; |
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using T = std::conditional_t<I1 >= I2, FixedPoint<I1, F>, FixedPoint<I2, F>>; |
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const T l = T::from_base(lhs.to_raw()); |
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const T r = T::from_base(rhs.to_raw()); |
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@ -501,10 +480,10 @@ constexpr typename std::conditional<I1 >= I2, FixedPoint<I1, F>, FixedPoint<I2, |
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} |
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template <size_t I1, size_t I2, size_t F> |
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constexpr typename std::conditional<I1 >= I2, FixedPoint<I1, F>, FixedPoint<I2, F>>::type operator-( |
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constexpr std::conditional_t<I1 >= I2, FixedPoint<I1, F>, FixedPoint<I2, F>> operator-( |
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FixedPoint<I1, F> lhs, FixedPoint<I2, F> rhs) { |
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using T = typename std::conditional<I1 >= I2, FixedPoint<I1, F>, FixedPoint<I2, F>>::type; |
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using T = std::conditional_t<I1 >= I2, FixedPoint<I1, F>, FixedPoint<I2, F>>; |
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const T l = T::from_base(lhs.to_raw()); |
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const T r = T::from_base(rhs.to_raw()); |
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@ -512,10 +491,10 @@ constexpr typename std::conditional<I1 >= I2, FixedPoint<I1, F>, FixedPoint<I2, |
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} |
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template <size_t I1, size_t I2, size_t F> |
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constexpr typename std::conditional<I1 >= I2, FixedPoint<I1, F>, FixedPoint<I2, F>>::type operator*( |
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constexpr std::conditional_t<I1 >= I2, FixedPoint<I1, F>, FixedPoint<I2, F>> operator*( |
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FixedPoint<I1, F> lhs, FixedPoint<I2, F> rhs) { |
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using T = typename std::conditional<I1 >= I2, FixedPoint<I1, F>, FixedPoint<I2, F>>::type; |
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using T = std::conditional_t<I1 >= I2, FixedPoint<I1, F>, FixedPoint<I2, F>>; |
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const T l = T::from_base(lhs.to_raw()); |
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const T r = T::from_base(rhs.to_raw()); |
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@ -523,10 +502,10 @@ constexpr typename std::conditional<I1 >= I2, FixedPoint<I1, F>, FixedPoint<I2, |
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} |
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template <size_t I1, size_t I2, size_t F> |
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constexpr typename std::conditional<I1 >= I2, FixedPoint<I1, F>, FixedPoint<I2, F>>::type operator/( |
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constexpr std::conditional_t<I1 >= I2, FixedPoint<I1, F>, FixedPoint<I2, F>> operator/( |
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FixedPoint<I1, F> lhs, FixedPoint<I2, F> rhs) { |
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using T = typename std::conditional<I1 >= I2, FixedPoint<I1, F>, FixedPoint<I2, F>>::type; |
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using T = std::conditional_t<I1 >= I2, FixedPoint<I1, F>, FixedPoint<I2, F>>; |
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const T l = T::from_base(lhs.to_raw()); |
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const T r = T::from_base(rhs.to_raw()); |
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@ -561,54 +540,46 @@ constexpr FixedPoint<I, F> operator/(FixedPoint<I, F> lhs, FixedPoint<I, F> rhs) |
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return lhs; |
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} |
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template <size_t I, size_t F, class Number, |
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class = typename std::enable_if<std::is_arithmetic<Number>::value>::type> |
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template <size_t I, size_t F, IsArithmetic Number> |
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constexpr FixedPoint<I, F> operator+(FixedPoint<I, F> lhs, Number rhs) { |
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lhs += FixedPoint<I, F>(rhs); |
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return lhs; |
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} |
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template <size_t I, size_t F, class Number, |
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class = typename std::enable_if<std::is_arithmetic<Number>::value>::type> |
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template <size_t I, size_t F, IsArithmetic Number> |
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constexpr FixedPoint<I, F> operator-(FixedPoint<I, F> lhs, Number rhs) { |
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lhs -= FixedPoint<I, F>(rhs); |
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return lhs; |
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} |
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template <size_t I, size_t F, class Number, |
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class = typename std::enable_if<std::is_arithmetic<Number>::value>::type> |
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template <size_t I, size_t F, IsArithmetic Number> |
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constexpr FixedPoint<I, F> operator*(FixedPoint<I, F> lhs, Number rhs) { |
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lhs *= FixedPoint<I, F>(rhs); |
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return lhs; |
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} |
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template <size_t I, size_t F, class Number, |
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class = typename std::enable_if<std::is_arithmetic<Number>::value>::type> |
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template <size_t I, size_t F, IsArithmetic Number> |
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constexpr FixedPoint<I, F> operator/(FixedPoint<I, F> lhs, Number rhs) { |
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lhs /= FixedPoint<I, F>(rhs); |
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return lhs; |
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} |
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template <size_t I, size_t F, class Number, |
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class = typename std::enable_if<std::is_arithmetic<Number>::value>::type> |
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template <size_t I, size_t F, IsArithmetic Number> |
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constexpr FixedPoint<I, F> operator+(Number lhs, FixedPoint<I, F> rhs) { |
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FixedPoint<I, F> tmp(lhs); |
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tmp += rhs; |
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return tmp; |
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} |
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template <size_t I, size_t F, class Number, |
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class = typename std::enable_if<std::is_arithmetic<Number>::value>::type> |
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template <size_t I, size_t F, IsArithmetic Number> |
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constexpr FixedPoint<I, F> operator-(Number lhs, FixedPoint<I, F> rhs) { |
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FixedPoint<I, F> tmp(lhs); |
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tmp -= rhs; |
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return tmp; |
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} |
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template <size_t I, size_t F, class Number, |
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class = typename std::enable_if<std::is_arithmetic<Number>::value>::type> |
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template <size_t I, size_t F, IsArithmetic Number> |
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constexpr FixedPoint<I, F> operator*(Number lhs, FixedPoint<I, F> rhs) { |
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FixedPoint<I, F> tmp(lhs); |
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tmp *= rhs; |
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return tmp; |
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} |
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template <size_t I, size_t F, class Number, |
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class = typename std::enable_if<std::is_arithmetic<Number>::value>::type> |
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template <size_t I, size_t F, IsArithmetic Number> |
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constexpr FixedPoint<I, F> operator/(Number lhs, FixedPoint<I, F> rhs) { |
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FixedPoint<I, F> tmp(lhs); |
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tmp /= rhs; |
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@ -616,78 +587,64 @@ constexpr FixedPoint<I, F> operator/(Number lhs, FixedPoint<I, F> rhs) { |
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} |
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// shift operators |
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template <size_t I, size_t F, class Integer, |
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class = typename std::enable_if<std::is_integral<Integer>::value>::type> |
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template <size_t I, size_t F, IsIntegral Integer> |
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constexpr FixedPoint<I, F> operator<<(FixedPoint<I, F> lhs, Integer rhs) { |
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lhs <<= rhs; |
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return lhs; |
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} |
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template <size_t I, size_t F, class Integer, |
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class = typename std::enable_if<std::is_integral<Integer>::value>::type> |
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template <size_t I, size_t F, IsIntegral Integer> |
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constexpr FixedPoint<I, F> operator>>(FixedPoint<I, F> lhs, Integer rhs) { |
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lhs >>= rhs; |
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return lhs; |
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} |
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// comparison operators |
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template <size_t I, size_t F, class Number, |
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class = typename std::enable_if<std::is_arithmetic<Number>::value>::type> |
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template <size_t I, size_t F, IsArithmetic Number> |
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constexpr bool operator>(FixedPoint<I, F> lhs, Number rhs) { |
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return lhs > FixedPoint<I, F>(rhs); |
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} |
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template <size_t I, size_t F, class Number, |
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class = typename std::enable_if<std::is_arithmetic<Number>::value>::type> |
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template <size_t I, size_t F, IsArithmetic Number> |
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constexpr bool operator<(FixedPoint<I, F> lhs, Number rhs) { |
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return lhs < FixedPoint<I, F>(rhs); |
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} |
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template <size_t I, size_t F, class Number, |
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class = typename std::enable_if<std::is_arithmetic<Number>::value>::type> |
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template <size_t I, size_t F, IsArithmetic Number> |
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constexpr bool operator>=(FixedPoint<I, F> lhs, Number rhs) { |
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return lhs >= FixedPoint<I, F>(rhs); |
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} |
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template <size_t I, size_t F, class Number, |
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class = typename std::enable_if<std::is_arithmetic<Number>::value>::type> |
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template <size_t I, size_t F, IsArithmetic Number> |
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constexpr bool operator<=(FixedPoint<I, F> lhs, Number rhs) { |
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return lhs <= FixedPoint<I, F>(rhs); |
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} |
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template <size_t I, size_t F, class Number, |
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class = typename std::enable_if<std::is_arithmetic<Number>::value>::type> |
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template <size_t I, size_t F, IsArithmetic Number> |
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constexpr bool operator==(FixedPoint<I, F> lhs, Number rhs) { |
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return lhs == FixedPoint<I, F>(rhs); |
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} |
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template <size_t I, size_t F, class Number, |
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class = typename std::enable_if<std::is_arithmetic<Number>::value>::type> |
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template <size_t I, size_t F, IsArithmetic Number> |
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constexpr bool operator!=(FixedPoint<I, F> lhs, Number rhs) { |
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return lhs != FixedPoint<I, F>(rhs); |
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} |
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template <size_t I, size_t F, class Number, |
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class = typename std::enable_if<std::is_arithmetic<Number>::value>::type> |
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template <size_t I, size_t F, IsArithmetic Number> |
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constexpr bool operator>(Number lhs, FixedPoint<I, F> rhs) { |
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return FixedPoint<I, F>(lhs) > rhs; |
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} |
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template <size_t I, size_t F, class Number, |
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class = typename std::enable_if<std::is_arithmetic<Number>::value>::type> |
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template <size_t I, size_t F, IsArithmetic Number> |
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constexpr bool operator<(Number lhs, FixedPoint<I, F> rhs) { |
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return FixedPoint<I, F>(lhs) < rhs; |
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} |
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template <size_t I, size_t F, class Number, |
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class = typename std::enable_if<std::is_arithmetic<Number>::value>::type> |
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template <size_t I, size_t F, IsArithmetic Number> |
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constexpr bool operator>=(Number lhs, FixedPoint<I, F> rhs) { |
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|
return FixedPoint<I, F>(lhs) >= rhs; |
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} |
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template <size_t I, size_t F, class Number, |
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|
class = typename std::enable_if<std::is_arithmetic<Number>::value>::type> |
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template <size_t I, size_t F, IsArithmetic Number> |
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constexpr bool operator<=(Number lhs, FixedPoint<I, F> rhs) { |
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|
return FixedPoint<I, F>(lhs) <= rhs; |
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|
} |
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template <size_t I, size_t F, class Number, |
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|
class = typename std::enable_if<std::is_arithmetic<Number>::value>::type> |
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|
template <size_t I, size_t F, IsArithmetic Number> |
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|
constexpr bool operator==(Number lhs, FixedPoint<I, F> rhs) { |
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|
return FixedPoint<I, F>(lhs) == rhs; |
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|
} |
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|
template <size_t I, size_t F, class Number, |
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|
class = typename std::enable_if<std::is_arithmetic<Number>::value>::type> |
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|
template <size_t I, size_t F, IsArithmetic Number> |
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|
|
constexpr bool operator!=(Number lhs, FixedPoint<I, F> rhs) { |
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|
|
return FixedPoint<I, F>(lhs) != rhs; |
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|
|
} |
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